Finding the Fourth Proportional to 17,086,135,046,040, 23,580,887,752,842 and 10,149,400,677,597
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Solution
The fourth proportional to 17,086,135,046,040, 23,580,887,752,842 and 10,149,400,677,597 is: 14,007,373,668,306.72
Step by Step Solution
- Step 1: Write the proportion equation
17,086,135,046,040 : 23,580,887,752,842 = 10,149,400,677,597 : x - Step 2: Convert to fraction form
17,086,135,046,040/23,580,887,752,842 = 10,149,400,677,597/x - Step 3: Cross multiply
17,086,135,046,040x = 23,580,887,752,842 × 10,149,400,677,597 - Step 4: Simplify right side
17,086,135,046,040x = 239,331,878,137,033,404,392,144,896 - Step 5: Solve for x
x = 239,331,878,137,033,404,392,144,896/17,086,135,046,040 - Step 6: Final answer
x = 14,007,373,668,306.72
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.